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Finding the Third Proportional to 927,523.50 and 2,147,376.75

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Solution

The third proportional to 927,523.50 and 2,147,376.75 is: 4,971,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,523.50 : 2,147,376.75 = 2,147,376.75 : x
  2. Step 2: Convert to fraction form
    927,523.50/2,147,376.75 = 2,147,376.75/x
  3. Step 3: Cross multiply
    927,523.50x = 2,147,376.75 × 2,147,376.75
  4. Step 4: Simplify right side
    927,523.50x = 4,611,226,906,440.56
  5. Step 5: Solve for x
    x = 4,611,226,906,440.56/927,523.50
  6. Step 6: Final answer
    x = 4,971,547.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.